Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter B, Problem 12P

a)

Summary Introduction

To graph: The feasible region and determine the optimal solution.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

Feasible region:

A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities and integer constraints. It is the area that is bounded by the constraints of the problem.

b)

Summary Introduction

To determine: The total cost of the optimal solution.

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Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.
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